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Mandal, Supriya and Singh, Debabrata and Panja, M. M. (2020) Approximation of the Modified Error Function by Using Perturbative and Sinc Collocation Methods. In: Recent Studies in Mathematics and Computer Science Vol. 1. B P International, pp. 89-104.

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Abstract

This chapter deals with the evaluation of some integrals involving error-, exponential- and algebraic
functions with an objective to present explicit expressions for the second and third order correction
terms in the approximation of the modified error function in the perturbation approach. Over and
above an approximation of the desired modified error function has been developed in sinc basis. The
accuracy in the approximation (perturbation method and sinc basis) have been compared with the
approximate value available in the literature. Results obtained by perturbation approximation and
scheme based on sinc basis seem to be useful in the study of Stefan problem. The results obtained
here appear to be new and resolve the lack of desired monotonicity property in the results derived
earlier e.g. by Ceretania et al.[1].

Item Type: Book Section
Subjects: GO for ARCHIVE > Mathematical Science
Depositing User: Unnamed user with email support@goforarchive.com
Date Deposited: 30 Nov 2023 04:23
Last Modified: 30 Nov 2023 04:23
URI: http://eprints.go4mailburst.com/id/eprint/1835

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